Noun

(en noun)

Physical matter; material.

* 1699 , , Heads designed for an essay on conversations

Study gives strength to the mind; conversation, grace: the first apt to give stiffness, the other suppleness: one gives substance and form to the statue, the other polishes it.

* {{quote-magazine, date=2013-07-20, volume=408, issue=8845, magazine=(The Economist)

, title= Welcome to the plastisphere , passage=Plastics are energy-rich substances , which is why many of them burn so readily. Any organism that could unlock and use that energy would do well in the Anthropocene. Terrestrial bacteria and fungi which can manage this trick are already familiar to experts in the field.}}

The essential part of anything; the most vital part.

* (John Dryden) (1631-1700)

Heroic virtue did his actions guide, / And he the substance , not the appearance, chose.

* Bishop Burnet

This edition is the same in substance with the Latin.

* (Edmund Burke) (1729-1797)

It is insolent in words, in manner; but in substance it is not only insulting, but alarming.

Substantiality; solidity; firmness.

Material possessions; estate; property; resources.

* Bible, (w) xv. 13

And there wasted his substance with riotous living.

* (William Shakespeare) (1564-1616)

Thy substance , valued at the highest rate, / Cannot amount unto a hundred marks.

* (Jonathan Swift) (1667–1745)

We are destroying many thousand lives, and exhausting our substance , but not for our own interest.

Drugs (illegal narcotics)

(theology) Hypostasis.

Noun

(en-noun)

A starting point, base or foundation for an argument or hypothesis.

An underlying condition or circumstance.

* 2013 , Daniel Taylor, Danny Welbeck leads England's rout of Moldova but hit by Ukraine ban'' (in ''The Guardian , 6 September 2013)[http://www.theguardian.com/football/2013/sep/06/england-moldova-world-cup-qualifier-matchreport]

Hodgson may now have to bring in James Milner on the left and, on that basis , a certain amount of gloss was taken off a night on which Welbeck scored twice but barely celebrated either before leaving the pitch angrily complaining to the Slovakian referee.

regular frequency

You should brush your teeth on a daily basis at minimum.

The flights to Fiji leave on a weekly basis .

Cars must be checked on a yearly basis .

(linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.

(accounting) Amount paid for an investment, including commissions and other expenses.

(topology) A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.